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Finding the Fourth Proportional to 69,677, 104,532.86 and 20,429

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Solution

The fourth proportional to 69,677, 104,532.86 and 20,429 is: 30,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,677 : 104,532.86 = 20,429 : x
  2. Step 2: Convert to fraction form
    69,677/104,532.86 = 20,429/x
  3. Step 3: Cross multiply
    69,677x = 104,532.86 × 20,429
  4. Step 4: Simplify right side
    69,677x = 2,135,501,796.94
  5. Step 5: Solve for x
    x = 2,135,501,796.94/69,677
  6. Step 6: Final answer
    x = 30,648.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.